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Finding the Fourth Proportional to 1,739.24, 2,604.72 and 958.04

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Solution

The fourth proportional to 1,739.24, 2,604.72 and 958.04 is: 1,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.24 : 2,604.72 = 958.04 : x
  2. Step 2: Convert to fraction form
    1,739.24/2,604.72 = 958.04/x
  3. Step 3: Cross multiply
    1,739.24x = 2,604.72 × 958.04
  4. Step 4: Simplify right side
    1,739.24x = 2,495,425.95
  5. Step 5: Solve for x
    x = 2,495,425.95/1,739.24
  6. Step 6: Final answer
    x = 1,434.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.